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Finding the Third Proportional to 177,732 and 394,829

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Solution

The third proportional to 177,732 and 394,829 is: 877,106.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,732 : 394,829 = 394,829 : x
  2. Step 2: Convert to fraction form
    177,732/394,829 = 394,829/x
  3. Step 3: Cross multiply
    177,732x = 394,829 × 394,829
  4. Step 4: Simplify right side
    177,732x = 155,889,939,241
  5. Step 5: Solve for x
    x = 155,889,939,241/177,732
  6. Step 6: Final answer
    x = 877,106.76

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.